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Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38
Edited By Irshad Anwar | Updated on Sep 20, 2023 04:31 PM IST | #CAT
Hello CAT 2023 candidates,
The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26. In this CAT 2023 60-day preparation guide series of Careers360, we will discuss the strategies on Derangement and Ranking Arrangement Questions for day 38 that can help you prepare well and crack the CAT entrance test 2023.
This article includes Ranking arrangement questions, one-word substitution MCQs, and Logical deduction meaning. Aspirants can go through the article below for further practice questions on Ranking arrangement questions, one-word substitution questions and logical deduction questions. CAT Preparation 2023 in 60 days
Part-1: Quantitative Aptitude for CAT exam
CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Ranking and Derangements)” and ranking arrangement questions
Important Concept/Formula Used in Derangement
Problems on Derangement and Ranking
- Finding of Rank of a word in a dictionary with no alphabet is repeating: See link in references
- Finding the Rank of a word (if letters are repeating): See link in references
- Concept of Derangements: permutation of the elements of a certain set in a way that no element of that set appears in their original positions.
- The number of derangements of a set with n objects is given by the formula
CAT Exam: Previous Year CAT Questions On Permutations and Combinations (Ranking and Derangements)
Q1. All the rearrangements of the word "DEMAND" are written without including any word that has two D's appearing together. If these are arranged alphabetically, what would be the rank of "DEMAND"? [CAT PYQ]
A. 36 B. 74 C. 42 D. 86
Ranking Arrangement Questions With Answers: (B)
Total words formed from the word DEMAND = 6! /2! = 360
Total words formed from the word DEMAND where 2 D’s appear together = 5! = 120
Total words formed from the word DEMAND where 2D’s do not appear together =
360 – 120 = 240
Words starting with ‘A’, without two D’s adjacent to each = Words starting with A - Words starting with A where 2 D’s are together
⇒ Words starting with ‘A’, without two D’s adjacent to each = 5!/2! - 4! = 36.
Next letter is D (in alphabetical order from the letters of the word DEMAND)
Words starting with DA: 4! words = 24 words
Words starting with DEA = 3! = 6 words
Words starting with DEA = 3! = 6 words
Words starting with DEMA
=> First word is DEMADN
=> Second is DEMAND
Rank of DEMAND = 36 + 24 + 6 + 6 + 2 = 74
Derangement and Ranking
Q2. In how many ways can you put 6 letters into their respective envelopes such that exactly 4 go into the right envelope? [CAT Sample Question]
a) 24 b) 102 c)15 d) 530
Ranking Arrangement Questions With Answers: (C)
No of ways in which the 4 correct envelopes can be selected= 6C4 =15
Derangement of the remaining 2 envelopes & letters =
= 2! (1 -1 + ½) = 1
Total No of ways of arrangement = 1 x 15= 15.
CAT entrance exam: Prerequisite to Derangement
Factorial
Fundamental Principle of counting,
Concept of Selection and Arrangement
Tips and Tricks of Ranking Arrangement Questions for CAT
For nCr to be greatest,
- if n is even, r = n/2
- if n is odd, r = (n + 1)/2 or (n – 1)/2
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowNumber of squares in a square of n × n side = 12 + 22 + 32 + 42 + … n2
Number of rectangles in a square of n × n side = 13 + 23 +33 + 43 + … n3. (This includes the number of squares.)
Practice sample papers and questions based on previous years CAT Questions.
Do not spend much time on this.
CAT study material: References to Study (Theory) Derangement and Ranking
- NCERT Class 11 Maths
- Concept Tree (YouTube, Link: https://www.youtube.com/watch?v=A4Fp-vP243k)
- CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=QCqj1ijqp8w)
CAT study material: References to Practice ranking arrangement questions
- How to prepare quantitative Aptitude for CAT by Arun Sharma.
- (CAT PYQs https://www.youtube.com/watch?v=P0UQxxR_slc)
Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2023 Syllabus Topic: Strategy to prepare “Logical Deduction” for CAT
Important Concepts/ Formulas used in Logical Deduction
Middle term: It is the term common to both the premise and is denoted by ‘M’.
Major premise: The premise in which the middle term is in place of the predicate is called a major premise.
Minor premise: The premise in which the middle term is in the place of the subject is called a minor premise.
Subject vs Predicate: Consider this question statement
- All cats are dogs
- Some dogs are birds
- No bird is a pig
- Some pigs are not birds.
In all such statements, the first term is called the subject and the second is called the predicate.
CAT Exam: Previous years Questions on Logical Deduction from CAT/ MBA Entrance Exam:
Q1. Statements: No Arc is Circle. Some Arc are Triangles.
Conclusions:
Square are Circles
Some Triangles are Circles.
The only conclusion I follow
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Solution: [D]
Statement I is negative.
Statemnet II is negative.
Therefore Negative conclusion must be there.
But neither conclusion is negative.
Logical Deduction Questions
Q2. The question contains six statements, followed by four options of combinations of any three of the given sentences. Choose the option in which the combinations are logically related. Consider the first two as statements and the third as conclusions:
Statements:
- Some pinks are colour.
- No Blue is black.
Conclusions:
- All pink are spark.
- Some sparks are not E.
- Some yellow are black.
- Some pink are black.
1. ABD 2. ABF 3. CDE 4. BCF 5. NOT
Solution: (5)
Option | Statement 1 | Statement 2 | Conclusion | Remark |
1 | A (+ve) | B (-ve) | D (-ve) | True |
2 | A (+ve) | B (-ve) | F (+ve) | False |
3 | C (+ve) | D (-ve) | E(+ve) | False |
4 | B (-ve) | C (+ve) | F (+ve) | False |
We must check option (1) only (rest are false); No common term is there A and B, so no conclusion can be drawn.
Hence answer is (5)
CAT entrance exam: Prerequisite
- Syllogism
- Venn Diagram
Tips and Tricks for CAT Logical Deduction Questions
There should be three and only three distinct terms between two premises for the conclusion to be obtained.
The middle term should be distributed at least once on the premises for the conclusion to be obtained.
Statement 1 | Statement 2 | Remark |
Positive | Positive | +ve Conclusion |
Positive | Negative | -ve Conclusion |
Negative | Positive | -ve Conclusion |
Negative | Negative | No Conclusion |
Learn the rule of distribution (See References to Study Link)
Practice Sample Papers.
References to CAT Study (Theory) Logical Deduction
- LRDI by Nikhil K. Sinha
- Concept Tree (YouTube link: https://www.youtube.com/watch?v=lkyRADOwUuY)
- (YouTube link: https://www.youtube.com/watch?v=lsl5y8xlqCw&t=442s)
References to Practice Logical Deduction questions
- Verbal and Non-Verbal Reasoning by R S Agrawal.
- MBA Entrance Previous years Papers and Sample Papers.
Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “One Word Substitution” and one word substitution questions for competitive exams such as CAT-2023
CAT Tips and Tricks for One Word Substitution Questions:
Divide the One-word substitutions into the categories like
One Word Substitution for Study
Some Examples:
Printing using a stone or a metal plate with a completely smooth surface | Lithography |
Mapping of earth and its formation | Geography |
Words used for people with various qualities, habits, and abilities.
Some Examples:
The doctor who attends to corn in the feet and hands | Chiropodist |
The doctor who deals with the female reproductive system | Gynecologist |
Words for likes and dislikes
Some Examples:
One who loves and admires the British | Anglophile |
One who loves without seriousness | Philanderer |
Words used for practices & beliefs
Some Examples:
One who believes in many Gods | Polytheist |
One who believes that God is the union of all forces of the universe | Pantheist |
Words used for various kinds of killings
Some Examples:
the killing of a whole race | Genocide |
The killing of a newborn child | Infanticide |
There can be more categories like this.
Remember the following factors while choosing a word for a sentence
- Contextual
- Grammatical
- Tone of sentence
- Insight
Learning more about substitution will be helpful.
Practice Sample questions.
CAT Previous Years' Questions on One Word Substitution MCQs
Sample Questions:
Directions: Choose the best substitute from the given options for highlighted phrase
Q.1. We visited the ancient palace yesterday, there we saw old manuscripts written by saints, we tried but it was not clear enough to be read.
- Corrigible
- Legible
- Negligible
- Illegible
Ans: [4]
One word substitution quiz with answers
Q.2. They organized a house party for Sara’s birthday but she does not get excited easily even if you put in a lot of effort and emotion.
- Gregarious
- Placid
- Inclement
- Frenzied
Ans: [2]
CAT 2023: Prerequisite to one word substitution MCQs
- Sentence Structure
- Vocabulary
- Parts of Speech
CAT exam: References to Study (Theory)
- One word substitution questions for competitive exams
- Wren and Martin
- (https://www.youtube.com/watch?v=3YPMi1RbSb0)
CAT exam: References to Practice one word substitution questions
- one-word substitution MCQs
- Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.
- CAT Previous years Papers and other MBA Entrance Exams.
- (youTube; Link: https://www.youtube.com/watch?v=1DU9ZWbGvLs)
Practice and remain focused, and we'll be back tomorrow with Day 39.
Thank you! All the best!
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Yes, you can get admission to MBA programs at IISWBM without a CAT score, but only for certain courses. Note that IISWBM has MBA programs under the University of Calcutta and flagship courses like MBA (Day) or MBA-HRM typically require a CAT score. Other programs like the PGDM or Executive MBA/Course may have other entrance examinations on which consideration would be made, or considerations may be based on merit, and of course work experience. Always run any eligibility detail checks with the official IISWBM (https://www.iiswbm.edu/) website or The IISWBM prospectus.
gopi 30 June,2025
Hello,
Yes, a state (Delhi) NC-OBC certificate is valid for CAT 2025 , but it must be in the central government format (for appointment to posts under Government of India).
Also, it should be issued after 31st March 2025, as required by IIMs. If your certificate meets these conditions, it will be accepted.
Hope it helps !
Prachi Kumari 28 June,2025
Hello aspirant,
With 375 marks and an AIR of around 2.6 lakh in NEET 2025, getting admission to Ayurvedic & Unani Tibbia College (AUTC), New Delhi under the state quota is quite difficult. The cutoffs for government BAMS seats in AUTC generally stay below AIR 50,000, especially for the General and EWS categories. Your score may not meet the cutoff in the first or second rounds, but you might still have a slim chance in the mop-up or stray vacancy rounds, depending on how many seats remain and how other candidates opt. If you're a Delhi domicile and have all your documents ready, you should definitely apply and fill AUTC as a top choice. It’s also good to keep backup options in other AYUSH colleges open.
OISHEE BANERJEE 01 July,2025
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The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.
If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.
OISHEE BANERJEE 24 June,2025
If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.
VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.
Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.
So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.
All the best!
OISHEE BANERJEE 22 June,2025
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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